For topological boundaries in Levin-Wen and Walker-Wang models, the boundary algebra's DHR bimodule category recovers the boundary topological order, and for Walker-Wang it is the enriched center Z_B(X).
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Holography for bulk-boundary local topological order
For topological boundaries in Levin-Wen and Walker-Wang models, the boundary algebra's DHR bimodule category recovers the boundary topological order, and for Walker-Wang it is the enriched center Z_B(X).